Modulation Based On A Simple MDS Code: Achieving Better Error Performance Than Index Modulation and Related Schemes

TL;DR

This paper introduces two novel modulation schemes based on simple MDS codes that outperform index modulation and related schemes in error performance, while maintaining low complexity and simple implementation.

Contribution

The paper presents new MDS code-based modulation concepts that achieve better error rates than index modulation schemes with simple, low-complexity structures.

Findings

Proposed schemes outperform OFDM-IM in error performance.

Techniques exhibit low-complexity detection and simple bit-symbol mappings.

Achieve better error performance than existing index modulation schemes.

Abstract

In this paper, we propose two novel modulation concepts based on a simple maximum distance separable (MDS) code { and show that these concepts can achieve better error performance than index modulation (IM) and related schemes.} In the first concept, we use amplitude and phase levels to form a simple MDS code, whereas, in the second one, in-phase and quadrature components of codeword elements are used to construct the MDS code. We depict practical schemes for using the proposed concepts with orthogonal frequency division multiplexing (OFDM). We analyze the performance in terms of the minimum Euclidean distance and bit error rate. We also show that the proposed techniques exhibit desirable properties such as efficient low-complexity detection, very simple bits-to-symbols, and symbols-to-bits mappings, and a better error performance when compared to the OFDM-IM and related schemes. More importantly, contrary to the vast majority of IM studies that focus on showing the superiority of the IM techniques against conventional modulation techniques, we show that modulation concepts based on a well-known MDS code can achieve better error performance than the IM and related schemes while exhibiting a structure as simple as these schemes.